Answer:
Option D, the volume is 15.625 cubes
Step-by-step explanation:
For a cube of side length L, the volume is:
V = L^3
for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:
v = (1in)^3 = 1 in^3
Then:
1 in^3 is equivalent to one small cube
Here we know that the side length of our cube is (2 + 1/2) in
Then the volume of this cube will be:
V = [ (2 + 1/2) in]^3
To simplify the calculation, we can write:
2 + 1/2 = 4/2 + 1/2 = 5/2
Then:
V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3
This means that 15.625 small cubes will fill the prism.
So the correct option is D.

- What is the solution to the inequality -3x-42>3 ?


Add 42 to both sides.

Add 3 and 42 to get 45.

Divide both sides by -3. As -3 is <0, the inequality direction has changed.

Divide 45 by -3 to get -15.

Answer:
let sum of money be x
amount=rupees5454
rate=8%
time=30 months
convert month into year
30/12=5/2 years
Step-by-step explanation:
interest=p*t*r/100
=x*5*8/100*2
=40x/200
=x/5
so to find principal use formula
amount=principal +interest
5454=x+x/5
5454=5x+x/5
5454*5=6x
27270/6=x
4545=x
therefore ,sum of money(principal)=rupees.4545
Hope this helps u!!
Answer:
-4.08
Step-by-step explanation:
Answer:
so where the points are on the triangles is where you would go side to side and up and down
Step-by-step explanation: